Infinite series identities involving quadratic and cubic harmonic numbers

DOI10.5565/PUBLMAT6211813zbMath1411.11077OpenAlexW2772420278MaRDI QIDQ1704365

Xiao Yuan Wang, Chu, Wenchang

Publication date: 9 March 2018

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pm/1513393238

zbMATH Keywords

Riemann zeta functionpartial fraction decompositionharmonic numberstelescoping methodAbel's lemma on summation by parts

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Approximation to limiting values (summation of series, etc.) (40A25)

Related Items (6)

Explicit identities for infinite families of series involving squared binomial coefficients ⋮ A series evaluation technique based on a modified Abel lemma ⋮ Generalized harmonic number sums and quasisymmetric functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A WZ proof for a Ramanujan-like series involving cubed binomial coefficients

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